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Finding the Third Proportional to 34,638 and 54,263

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Solution

The third proportional to 34,638 and 54,263 is: 85,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638 : 54,263 = 54,263 : x
  2. Step 2: Convert to fraction form
    34,638/54,263 = 54,263/x
  3. Step 3: Cross multiply
    34,638x = 54,263 × 54,263
  4. Step 4: Simplify right side
    34,638x = 2,944,473,169
  5. Step 5: Solve for x
    x = 2,944,473,169/34,638
  6. Step 6: Final answer
    x = 85,007.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.